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We prove that, after centering and diffusively rescaling space and time, thecollection of rightmost infinite open paths in a supercritical orientedpercolation configuration on the space-time lattice Z^2_{even}:={(x,i) in Z^2:x+i is even} converges in distribution to the Brownian web. This proves aconjecture of Wu and Zhang. Our key observation is that each rightmost infiniteopen path can be approximated by a percolation exploration cluster, anddifferent exploration clusters evolve independently before they intersect.

Brownian Web in the Scaling Limit of Supercritical Oriented Percolation in Dimension 1+1